Search a number
-
+
5741699076 = 22327321732
BaseRepresentation
bin1010101100011101…
…10110000000000100
3112211011000112102100
411112032312000010
543224333332301
62345424312100
7262166431311
oct52616660004
915734015370
105741699076
112487048553
121142a72630
1370670ac99
143c67b1d08
15239114286
hex1563b6004

5741699076 has 81 divisors (see below), whose sum is σ = 14800832319. Its totient is φ = 1876770432.

The previous prime is 5741699063. The next prime is 5741699077. The reversal of 5741699076 is 6709961475.

The square root of 5741699076 is 75774.

It is a perfect power (a square), and thus also a powerful number.

5741699076 is a `hidden beast` number, since 574 + 1 + 69 + 9 + 0 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1558196676 + 4183502400 = 39474^2 + 64680^2 .

It is not an unprimeable number, because it can be changed into a prime (5741699077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33188926 + ... + 33189098.

Almost surely, 25741699076 is an apocalyptic number.

5741699076 is the 75774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5741699076

5741699076 is an abundant number, since it is smaller than the sum of its proper divisors (9059133243).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5741699076 is a wasteful number, since it uses less digits than its factorization.

5741699076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The cubic root of 5741699076 is about 1790.6614157374.

The spelling of 5741699076 in words is "five billion, seven hundred forty-one million, six hundred ninety-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 173 219 292 346 438 519 657 692 876 1038 1314 1557 2076 2628 3114 5329 6228 10658 12629 15987 21316 25258 29929 31974 37887 47961 50516 59858 63948 75774 89787 95922 113661 119716 151548 179574 191844 227322 269361 359148 454644 538722 921917 1077444 1843834 2184817 2765751 3687668 4369634 5531502 6554451 8297253 8739268 11063004 13108902 16594506 19663353 26217804 33189012 39326706 78653412 159491641 318983282 478474923 637966564 956949846 1435424769 1913899692 2870849538 5741699076